Transcript of "Stellated Dodecahedron Project"

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Stellated Dodecahedron <ul><li>Enrichment Project </li></ul><ul><li>Vocabulary You Need to Know </li></ul><ul><li>Face: A plane figure that serves as one side of a solid figure. Example: The six faces of a cube are squares. What are the faces of your figure? </li></ul><ul><li>Edges: A line segment where the two faces of a polyhedron meet. </li></ul><ul><li>Polyhedron: A solid bounded by polygons that enclose a single region of space. </li></ul><ul><li>Polygon: A closed, plane figure formed by line segments that meet only at their endpoints. </li></ul><ul><li>Vertex (Vertices): A point where three or more edges of a polyhedron meet. </li></ul>

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When you have finished your enrichment project you will turn in the following information slip.

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Step One You have a piece of paper that has four triangles on the paper. You will draw four different designs on your paper. Decide which design you would like to use on your project.

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Step 2: When you have decided which pattern you will be using you will receive a piece of tracing paper. <ul><li>Step 3: </li></ul><ul><li>Next, place your tracing paper over one or more of your designs and trace the design you will be tessellating (complete covering of a plane with a repeating pattern of figures so that no gaps or overlaps occur). </li></ul>Use a pencil to do your tracing !

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Step 4 <ul><li>Turn your tracing paper over to the back or the opposite side from where you just traced your design. Using the side of your pencil, color the back side of the design. You are laying down a layer of graphite and making your own carbon paper. </li></ul>

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Step 5: You will need 5 templates to make one stellated dodecahedron. <ul><li>Next, you will place your tracing paper design on the top of each triangle and trace your design. After you trace your design, the graphite you put on the back of the tracing paper should be left on the triangle when you move the tracing paper. </li></ul>

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<ul><li>Each time you finish a triangle, you will need to turn over the tracing paper, using the side of your pencil, color and lay down a new layer of graphite. Coloring the back each time will ensure that your carbon paper is fresh and ready for the next triangle. </li></ul><ul><li>Continue tracing your design on each triangle. You will need to complete 4 of these templates to make one stellated dodecahedron. </li></ul><ul><li>When I finished tracing all my designs I went over my drawings with a black pen so that my design was sharp and clear. </li></ul><ul><li>Now, color your design. Remember you need four of these to make one dodecahedron. </li></ul>

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How to Construct Your “Star” <ul><li>Cut out each copy of your pattern. </li></ul><ul><li>Make two cuts on the red dotted lines. </li></ul><ul><li>Fold all the yellow long tabs back or away from you. </li></ul><ul><li>Fold all the blue short tabs up or toward you. </li></ul>Warning : Before you cut, transfer each P to the back of the triangle it is next to because when you cut out your templates you will be cutting off the p.

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Folding <ul><li>You will fold along every line. </li></ul><ul><li>Every three triangles will make one triangular pyramid. </li></ul><ul><li>Continue to fold until each page creates four triangular pyramids. </li></ul>

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Side of Each Triangle <ul><li>Tuck the long tab you folded back under the side of each opposite triangle and tape or glue together. </li></ul>

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<ul><li>When you have folded and constructed each page, you should have four triangular prisms. </li></ul>You will need a total of 5 pages folded just like this picture.

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Now for the Magic! <ul><li>You will connect each P to each N. This is very important! </li></ul>Continue to connect each N to each P until all five sections are together. Now, go back and slip all the short tabs under the adjacent triangles. Tape in place.